Simplify the Matrix

Problem

3*[[−6,−1,−3,−6,−1,9],[2,−1,4,3,−7,1],[0,2,−7,−9,6,−7],[−3,2,−6,−11,−6,0],[−7,−1,5,−5,13,−4],[1,−5,−9,6,−1,5]]

Solution

1. Identify the operation as scalar multiplication of a matrix, where every element inside the matrix must be multiplied by the scalar 3

2. Multiply each element in the first row by 3 3(-6) = -18,(-1) = -3,(-3) = -9,(-6) = -18,(-1) = -3,a*n*d(9) = 27$.

3. Multiply each element in the second row by 3 3(2) = 6,(-1) = -3,(4) = 12,(3) = 9,(-7) = -21,a*n*d(1) = 3$.

4. Multiply each element in the third row by 3 3(0) = 0,(2) = 6,(-7) = -21,(-9) = -27,(6) = 18,a*n*d(-7) = -21$.

5. Multiply each element in the fourth row by 3 3(-3) = -9,(2) = 6,(-6) = -18,(-11) = -33,(-6) = -18,a*n*d(0) = 0$.

6. Multiply each element in the fifth row by 3 3(-7) = -21,(-1) = -3,(5) = 15,(-5) = -15,(13) = 39,a*n*d(-4) = -12$.

7. Multiply each element in the sixth row by 3 3(1) = 3,(-5) = -15,(-9) = -27,(6) = 18,(-1) = -3,a*n*d(5) = 15$.

Final Answer

3*[[−6,−1,−3,−6,−1,9],[2,−1,4,3,−7,1],[0,2,−7,−9,6,−7],[−3,2,−6,−11,−6,0],[−7,−1,5,−5,13,−4],[1,−5,−9,6,−1,5]]=[[−18,−3,−9,−18,−3,27],[6,−3,12,9,−21,3],[0,6,−21,−27,18,−21],[−9,6,−18,−33,−18,0],[−21,−3,15,−15,39,−12],[3,−15,−27,18,−3,15]]

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